Mechanics of Generalized Continua

One Hundred Years After the Cosserats

Editors:

ISBN: 978-1-4419-5694-1 (Print) 978-1-4419-5695-8 (Online)

Table of contents (34 chapters)

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  1. Front Matter

    Pages I-XIX

  2. On the Cosserat's works

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-13

      Generalized Continuum Mechanics: What Do We Mean by That?

    3. No Access

      Chapter

      Pages 15-24

      On Semi-Holonomic Cosserat Media

  3. Cosserat media (rigidly rotating microstructure)

    1. Front Matter

      Pages 25-25

    2. No Access

      Chapter

      Pages 27-35

      On the Theories of Plates Based on the Cosserat Approach

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      Chapter

      Pages 37-45

      Cracks in Cosserat Continuum—Macroscopic Modeling

    4. No Access

      Chapter

      Pages 47-54

      Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Media

    5. No Access

      Chapter

      Pages 55-63

      Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness

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      Chapter

      Pages 65-70

      Application of Generalized Continuum Theory to the Problem of Vibration Decay in the Complex Mechanical Structures

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      Chapter

      Pages 71-78

      Measuring of Cosserat Effects and Reconstruction of Moduli Using Dispersive Waves

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      Chapter

      Pages 79-86

      Natural Lagrangian Strain Measures of the Non-Linear Cosserat Continuum

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      Chapter

      Pages 87-95

      Practical Applications of Simple Cosserat Methods

  4. Micromorphic media (deformable microstructure)

    1. Front Matter

      Pages 97-97

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      Chapter

      Pages 99-107

      Requirements on Periodic Micromorphic Media

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      Chapter

      Pages 109-117

      Extending Micromorphic Theory to Atomic Scale

  5. From the discrete to the continuum description (Cosserat and other continua often in relation to dynamical properties, homogenization)

    1. Front Matter

      Pages 119-119

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      Chapter

      Pages 121-129

      Nonlinear Theory of Cardinal Rearrangement of the Solid Body Structure in the Field of Intensive Pressure

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      Chapter

      Pages 131-141

      Generalized Beams and Continua. Dynamics of Reticulated Structures

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      Chapter

      Pages 143-148

      Wave Propagation in Damaged Materials Using a New Generalized Continuum Model

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      Chapter

      Pages 149-160

      On the Uniqueness of the Lagrangian of Gradient Elastic Continua

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      Chapter

      Pages 161-168

      Dynamic Properties of Essentially Nonlinear Generalized Continua

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      Chapter

      Pages 169-177

      Reissner–Mindlin Shear Moduli of a Sandwich Panel with Periodic Core Material

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      Chapter

      Pages 179-187

      Waves in Residual-Saturated Porous Media

  6. Gradient theory (weakly nonlocal theories)

    1. Front Matter

      Pages 189-189

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      Chapter

      Pages 191-202

      A Personal View on Current Generalized Theories of Elasticity and Plastic Flow

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